Not evaluated
Erdős problem #42: full solution according to the wiki (GPT-5.5 Pro)
The gist
According to the “AI contributions to Erdős problems” wiki, Harjas Sandhu, working with GPT-5.5 Pro, is credited with a full solution to Erdős problem 42, announced on April 27, 2026.
DiscoverIA status on October 12, 2026: not evaluated, meaning no third-party evaluation found.
AI draft, not reviewedWhat has not been reviewed?
Text written by an AI (DiscoverIA pipeline), on . The status and its sources come from the registry; only the explanatory text has not been reviewed. A reported error is corrected, then the text is reviewed.
Cite this entry
A single status snapshot since Oct 12, 2026: a citation always points to a dated snapshot.
Cite snapshot 1, Oct 12, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-erdos-42-gpt-5-5-pro-1d-r1
@misc{discoveria-erdos-42-gpt-5-5-pro-1d-r1,
author = {{DiscoverIA}},
title = {Erdős problem #42: full solution according to the wiki (GPT-5.5 Pro)},
howpublished = {DiscoverIA registry, entry erdos-42-gpt-5-5-pro-1d},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/erdos-42-gpt-5-5-pro-1d#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
The sources read file the problem under number theory, Sidon sets and additive combinatorics. A Sidon set is a set of integers whose sums of two elements (possibly equal, the order not counting) are all different. If the solution held, this problem on Erdős's list would be solved.
What remains unclear
No verification of the solution is recorded in the sources read. On erdosproblems.com, the problem is listed as solved as of October 12, 2026; the sources read do not say whether that state rests on this contribution.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · wiki
Step 1 of 4 on the scale: not evaluated. Next step: under review.
- Announced
- Wiki frozen
- Recordednot evaluated
- nextTo follow
What this status means
Source reading : Source read word for word (level 3 of 3)
The result is declared neither right nor wrong.
To move to “Under review”: a public review under way. To “Peer reviewed”: a journal publication or a review by named experts.
Dated archive: status recorded on the wiki frozen on Jun 30, 2026
Sources
- Main sourcegithub.com · wikipage read word for word · consulted on Oct 12, 2026
- Reference listerdosproblems.comlink only, reading not recorded
- Corroborationterrytao.wordpress.compage read word for word · consulted on Oct 17, 2026 ·
We have created a github repository to coordinate this process
- Repositorygithub.com · CONTRIBUTING.mdpage read word for word · consulted on Oct 17, 2026 ·
this status is an unofficial crowdsourced classification of the problem
Method
Source: the “AI contributions to Erdős problems” wiki of the teorth/erdosproblems repository (a repository presented by Terence Tao in his blog post of August 31, 2025); frozen on June 30, 2026 (commit c8ad430, “freeze”) and read on October 12, 2026 in the git repository. Category 1(d), “AI collaborating with humans” (significant human involvement). Humans named by the wiki: Harjas Sandhu; AI system: GPT-5.5 Pro. Date given by the wiki: April 27, 2026. Exact text: “Full solution”; green flag (“full resolution”, according to the wiki's legend). Literature cited by the wiki: none. Status of the problem in the teorth/erdosproblems community database (data/problems.yaml, unofficial classification, snapshot of October 12, 2026 with no commit identified, current state, not that of June 2026): resolved other than by a yes-or-no answer (informal_status=solved); a solution has been formalised in Lean (formal_status=Lean). This status concerns the problem, not this contribution. Problem page not read by DiscoverIA: https://www.erdosproblems.com/42. DiscoverIA status: not evaluated (only the wiki's classification exists). Recorded on October 12, 2026.
Limits
DiscoverIA has not checked this contribution itself.
Key facts
- Claimed by
- Harjas Sandhu with GPT-5.5 Pro, according to the AI-Erdős wiki
announced on Apr 27, 2026 - Nature
- new result
- Field
- Mathematics (Erdős problem #42 (number theory ; sidon sets ; additive combinatorics))
- Wiki category
- AI collaborating with humans (IA en collaboration avec des humains ; implication humaine significative)
- Wiki verdict
- « Full solution » : 🟢 résolution complète (légende du wiki)
- Checked by
- no verifier identified
- Sources
- 4 : 3 read word for word, 1 link only
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
An observation is added; none is ever erased.
In the same set
AI contributions to Erdős problems (wiki by T. Tao, frozen on June 30, 2026) · entry 20 of 521, by problem number
- Not evaluated : Erdős problem #38: full solution according to the wiki (GPT-5.5 Pro)
- Not evaluated : Erdős problem #42: partial result with a Lean proof according to the wiki (Codex, GPT-5.2, GPT-5.2 Pro)
- Not evaluated : Erdős problem #42: formalisation by Codex, GPT-5.5 Pro (proof: GPT-5.5 Pro (2026))
- Not evaluated : Erdős problem #42: full solution according to the wiki (GPT-5.5 Pro)
- Not evaluated : Erdős problem #43: new proof in Lean of a partial result according to the wiki (Aristotle)
- Not evaluated : Erdős problem #43: formalisation by Aristotle and Claude (proof: Barreto (2025))
- Withdrawn : Erdős problem #51: proof judged incorrect by the wiki (ChatGPT free version)
Report an error or suggest a source
Thank you, your message was sent.
Sending failed. Try again, or write to contact@discoveria.ai.
Is your result listed?What each status requires, correcting this entry, replying to it.